Intermediate Algebra (6th Edition)

by
Martin-Gay, Elayn

Answer

-1, 1

Work Step by Step

We are given that a number $a=1$.
We know that the opposite of a number $a$ is $-a$, so the opposite of $a=1$ will be $-a=-1$.
We know that the reciprocal of a nonzero number $a$ is the number $\frac{1}{a}$, where $a\times\frac{1}{a}=1$
Therefore, $\frac{1}{a}=1$, as $1\times1=1$. In other words, the reciprocal of 1 is also 1.